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Finding the Third Proportional to 415,749.25 and 898,026.50

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Solution

The third proportional to 415,749.25 and 898,026.50 is: 1,939,754.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,749.25 : 898,026.50 = 898,026.50 : x
  2. Step 2: Convert to fraction form
    415,749.25/898,026.50 = 898,026.50/x
  3. Step 3: Cross multiply
    415,749.25x = 898,026.50 × 898,026.50
  4. Step 4: Simplify right side
    415,749.25x = 806,451,594,702.25
  5. Step 5: Solve for x
    x = 806,451,594,702.25/415,749.25
  6. Step 6: Final answer
    x = 1,939,754.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.